Read e-book online Asymptotic methods in mechanics of solids (International PDF

By Svetlana M. Bauer,Sergei B. Filippov,Andrei L. Smirnov,Petr E. Tovstik,Rémi Vaillancourt

ISBN-10: 3319183109

ISBN-13: 9783319183107

ISBN-10: 3319386824

ISBN-13: 9783319386829

the development of options of singularly perturbed platforms of equations and boundary worth difficulties which are attribute for the mechanics of thin-walled constructions are the focus of the ebook. The theoretical effects are supplemented via the research of difficulties and workouts. a number of the themes are hardly ever mentioned within the textbooks, for instance, the Newton polyhedron, that's a generalization of the Newton polygon for equations with or extra parameters. After introducing the $64000 idea of the index of edition for features specified recognition is dedicated to eigenvalue difficulties containing a small parameter. the most a part of the publication offers with tools of asymptotic strategies of linear singularly perturbed boundary and boundary price difficulties with or without turning issues, respectively. As examples, one-dimensional equilibrium, dynamics and balance difficulties for inflexible our bodies and solids are awarded intimately. a number of routines and examples in addition to titanic references to the appropriate Russian literature no longer popular for an English talking reader makes this a fundamental textbook at the subject.  

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Asymptotic methods in mechanics of solids (International Series of Numerical Mathematics) by Svetlana M. Bauer,Sergei B. Filippov,Andrei L. Smirnov,Petr E. Tovstik,Rémi Vaillancourt

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